Question

10. Suppose there are two identical gas cylinders. One contains the monatomic gas neon (Ne), and the other contains an equal mass of the monatomic gas helium (He). The pressures in the cylinders are the same, but the temperatures are different. Determine the ratio KENe/KEHe of the average kinetic energy of an atom of neon to the average kinetic energy of an atom of helium.

Answer 1

V = V2 P, = 12 PV ART, n = mass of Ne = - Moler Mass of Ne 12 V2=nRT2 m 20X 1.67x10 N₂ = mass of He 4x1.67x1027 kg Molar Mass of He average velocity Vav = Vai = 3 P.ve BRT V Molar mass o no. Molal mass Molar mass - mass of gar Var = 3pv.m n. mars of gas Van we = 3P, V 3P,1, mars of Neon (m) Nau) He = 3P 2 V2 mass of Helium (m) K.Ene - 1 ml Varone) ² The Ima lave He) 2 = 2x m₂ 3P, V, - £x MH x 32₂ V2 MN MH P2V2 Put P = P2 V = V2 k. Ene ktne k. Eme PIVI = 1:1 K.Ehe